Smart Materials and Structures · 2009 · 19 citations · 21 references
EngineeringMaterials EngineeringAcousticsComputational AcousticsStructural EngineeringAcoustic Inverse ProblemsAcoustic LocalizationAcoustic SensorsStructural AcousticsStructural Health MonitoringWave Propagation In StructuresAcoustic EmissionAcoustic Emission SensorsDamage DetectionLamb WavesResponse Matrix AnalysisSensor-based Damage DetectionStructural Health Monitoring Using Acoustic SensorsWave Propagation Analysis
A geodesic-based approach using Lamb waves is proposed to locate the acoustic emission (AE) source and damage in an isotropic metallic structure. In the case of the AE (passive) technique, the elastic waves take the shortest path from the source to the sensor array distributed in the structure. The geodesics are computed on the meshed surface of the structure using graph theory based on Dijkstra's algorithm. By propagating the waves in reverse virtually from these sensors along the geodesic path and by locating the first intersection point of these waves, one can get the AE source location. The same approach is extended for detection of damage in a structure. The wave response matrix of the given sensor configuration for the healthy and the damaged structure is obtained experimentally. The healthy and damage response matrix is compared and their difference gives the information about the reflection of waves from the damage. These waves are backpropagated from the sensors and the above method is used to locate the damage by finding the point where intersection of geodesics occurs. In this work, the geodesic approach is shown to be suitable to obtain a practicable source location solution in a more general set-up on any arbitrary surface containing finite discontinuities. Experiments were conducted on aluminum specimens of simple and complex geometry to validate this new method.
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A note on two problems in connexion with graphs
E. Dijkstra · Numerische Mathematik · 1959 · 23.8K citations
Xiaoliang Zhao, Huidong Gao, Guangfan Zhang et al. · Smart Materials and Structures · 2007 · 728 citations
Engineering, Aerospace Engineering, Mechanical Engineering +17
Fast exact and approximate geodesics on meshes
Vitaly Surazhsky, Tatiana Surazhsky, Danil Kirsanov et al. · ACM Transactions on Graphics · 2005 · 500 citations · Full text